Question

If (5x-3y)/(5y-3x)=3/4,the value of x:y is ?

Answer 1

(5x-3y)/(5y-3x) = 3/4
⇒4(5x-3y) = 3(5y-3x)                   [Cross multiplication]
⇒20x - 12y = 15y - 9x
⇒20x+9x = 15y+12y
⇒29x = 27y
⇒x = 27y/29
⇒x/y = 27/29
∴x:y = 27:29.

Answer 2

The answer is  x:y = 27:29

Given:

(5x-3y)/(5y-3x)=3/4

To find:

x : y

Solution:

Given  (5x-3y)/(5y-3x)=3/4

To find x:y solve above expression as given below

⇒ $\frac{(5x-3y)}{(5y-3x)} = \frac{3}{4}$  

⇒ 4(5x-3y) = 3(5y - 3x)

⇒ 20x - 12y = 15y - 9x

⇒ 20x + 9x = 15y + 12y

⇒ 29x = 27y

⇒ x/y = 27/29

Here,  x/y = 27/29  can be written as x:y = 27:29

The answer is  x:y = 27:29

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